Pacific Journal of Mathematics

Coordinates for triangular operator algebras. II.

Paul S. Muhly, Kichi-Suke Saito, and Baruch Solel

Article information

Pacific J. Math., Volume 137, Number 2 (1989), 335-369.

First available in Project Euclid: 8 December 2004

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46L10: General theory of von Neumann algebras
Secondary: 47D25


Muhly, Paul S.; Saito, Kichi-Suke; Solel, Baruch. Coordinates for triangular operator algebras. II. Pacific J. Math. 137 (1989), no. 2, 335--369.

Export citation


  • [Al] Wm. B. Arveson, nalyticity in operatoralgebras, Amer. J. Math., 89 (1967), 578-642.
  • [A2] Wm. B. Arveson, On groups of automorphisms of operatoralgebras, J. Funct. Anal., 15 (1974), 217-243.
  • [A3] Wm. B. Arveson, Operator algebras and invariant subspaces, Annals of Math., 100 (1974), 433-532.
  • [AFG] E. Azoff, C. Fong, and F. Gilfeather, A reduction theoryfor non-selfadjoint operator algebras,Trans. Amer. Math. Soc, 224 (1976), 351-366.
  • [FM1] J. Feldman and C. Moore, Ergodic equivalencerelations,cohomologyand von Neumann algebras.I, Trans. Amer. Math. Soc, 234 (1977), 289-324.
  • [FM2] J. Feldman and C. Moore, Ergodic equivalence relations, cohomology, and von Neumann alge- bras. II, Trans. Amer. Math. Soc, 234 (1977), 325-359.
  • [GL] F. Gilfeather and D. Larson, Nest-subalgebras of von Neumann algebras,Ad- vances in Math., 46 (1982), 171-199.
  • [KS] R. Kadison and I. Singer, Triangular operator algebras,Amer. J. Math., 82 (1960), 227-259.
  • [LS] D. Larson and B. Solel, Nests and inner flows, J. Operator Theory, 16 (1986), 157-164.
  • [LM] R. Loebl and P. Muhly, nalyticity and flows in von Neumann algebras,J. Funct. Anal., 29 (1978), 214-252.
  • [M] R. Mercer, Bimodules over Cartansubalgebras, Rocky Mountain J. Math., (to appear).
  • [MSS] P. S. Muhly, K. Saito and B. Solel, Coordinates for triangular operator alge- bras,Ann. of Math., 127 (1988), 245-278.
  • [R] J. Rosenstein, Linear Orderings, Academic Press, New York, 1982.
  • [Sc] K. Schmidt, Lectures on Cocycles of Ergodic Transformation Groups, Macmil- lan, Bombay, 1977.
  • [SI] B. Solel, Analytic operator algebras (factorization andexpectation), Trans. Amer. Math. So, 287 (1985), 799-818.
  • [S2] B. Solel,Maximality ofanalytic operatoralgebras,Israel J.Math., 62(1988), 63-89.

See also

  • Paul S. Muhly, Kichi-Suke Saito, Baruch Solel. Coordinates for triangular operator algebras. I [MR 89h:46088] Ann. of Math. (2) 127 1988 2 245--278.